Search a number
-
+
129920112 = 2434714321
BaseRepresentation
bin1111011111001…
…10110001110000
3100001110121220000
413233212301300
5231224420422
620520350000
73135205560
oct757466160
9301417800
10129920112
11673779a3
1237615300
1320bbb30a
141337cda0
15b614cac
hex7be6c70

129920112 has 100 divisors (see below), whose sum is σ = 429774576. Its totient is φ = 37117440.

The previous prime is 129920107. The next prime is 129920117. The reversal of 129920112 is 211029921.

It is an interprime number because it is at equal distance from previous prime (129920107) and next prime (129920117).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129920117) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1912 + ... + 16232.

Almost surely, 2129920112 is an apocalyptic number.

129920112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129920112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214887288).

129920112 is an abundant number, since it is smaller than the sum of its proper divisors (299854464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

129920112 is a wasteful number, since it uses less digits than its factorization.

129920112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14348 (or 14333 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 129920112 is about 11398.2503920558. The cubic root of 129920112 is about 506.4759123411.

The spelling of 129920112 in words is "one hundred twenty-nine million, nine hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 14321 28642 42963 57284 85926 100247 114568 128889 171852 200494 229136 257778 300741 343704 386667 400988 515556 601482 687408 773334 801976 902223 1031112 1160001 1202964 1546668 1603952 1804446 2062224 2320002 2405928 2706669 3093336 3608892 4640004 4811856 5413338 6186672 7217784 8120007 9280008 10826676 14435568 16240014 18560016 21653352 32480028 43306704 64960056 129920112